Discrete constant mean curvature cylinders and isothermic tori
arXiv:2401.06570
Abstract
We consider the monodromy problem of Darboux transforms of discrete isothermic surfaces using the integrable theory of discrete polarised curves. Then we provide, for the first time, closed-form discrete parametrisations of discrete isothermic cylinders, discrete constant mean curvature cylinders, and discrete isothermic tori.
27 pages, 9 figures